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Finding the Fourth Proportional to 23,145.84, 31,941.29 and 12,535.49

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Solution

The fourth proportional to 23,145.84, 31,941.29 and 12,535.49 is: 17,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.84 : 31,941.29 = 12,535.49 : x
  2. Step 2: Convert to fraction form
    23,145.84/31,941.29 = 12,535.49/x
  3. Step 3: Cross multiply
    23,145.84x = 31,941.29 × 12,535.49
  4. Step 4: Simplify right side
    23,145.84x = 400,399,499.00
  5. Step 5: Solve for x
    x = 400,399,499.00/23,145.84
  6. Step 6: Final answer
    x = 17,298.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.